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Finding the Fourth Proportional to 81,976.80, 122,965.20 and 48,799.20

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Solution

The fourth proportional to 81,976.80, 122,965.20 and 48,799.20 is: 73,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,976.80 : 122,965.20 = 48,799.20 : x
  2. Step 2: Convert to fraction form
    81,976.80/122,965.20 = 48,799.20/x
  3. Step 3: Cross multiply
    81,976.80x = 122,965.20 × 48,799.20
  4. Step 4: Simplify right side
    81,976.80x = 6,000,603,387.84
  5. Step 5: Solve for x
    x = 6,000,603,387.84/81,976.80
  6. Step 6: Final answer
    x = 73,198.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.